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Finding the Fourth Proportional to 30,899.64, 42,661.98 and 18,328.44

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Solution

The fourth proportional to 30,899.64, 42,661.98 and 18,328.44 is: 25,305.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,899.64 : 42,661.98 = 18,328.44 : x
  2. Step 2: Convert to fraction form
    30,899.64/42,661.98 = 18,328.44/x
  3. Step 3: Cross multiply
    30,899.64x = 42,661.98 × 18,328.44
  4. Step 4: Simplify right side
    30,899.64x = 781,927,540.71
  5. Step 5: Solve for x
    x = 781,927,540.71/30,899.64
  6. Step 6: Final answer
    x = 25,305.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.